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Finding the Fourth Proportional to 9,896.64, 13,657.02 and 5,916.84

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Solution

The fourth proportional to 9,896.64, 13,657.02 and 5,916.84 is: 8,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.64 : 13,657.02 = 5,916.84 : x
  2. Step 2: Convert to fraction form
    9,896.64/13,657.02 = 5,916.84/x
  3. Step 3: Cross multiply
    9,896.64x = 13,657.02 × 5,916.84
  4. Step 4: Simplify right side
    9,896.64x = 80,806,402.22
  5. Step 5: Solve for x
    x = 80,806,402.22/9,896.64
  6. Step 6: Final answer
    x = 8,165.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.